Role of Vertex Correction and Dimensionality on Superconductivity Induced by On-site Coulomb Repuls ion

TL;DR

This paper investigates how vertex corrections and the dimensionality of lattice structures influence the emergence of superconductivity driven by on-site Coulomb repulsion, using third-order perturbation theory.

Contribution

It analyzes the role of vertex corrections in 3D cubic lattices and explores the interplay between dimensionality and vertex effects in superconductivity mechanisms.

Findings

Vertex correction significantly impacts p-wave pairing in 3D systems.

Dimensionality affects the dominance of certain pairing symmetries.

Common features in superconductivity mechanisms across lattice structures are identified.

Abstract

We evaluate the dominant superconducting pairing symmetry in some 3-dimensional cubic lattice struct ures within the third-order perturbation theory with respect to the on-site coulomb repulsion. We cl arify whether the vertex correction term, which has a critical contribution to the p-wave state in t he 2-dimensional systems, is also important in the 3-dimensional system. We finally investigate the interplay between dimensionality and the vertex correction to grasp common features independent of t he lattice structures in the mechanism of the superconductivity.